A Talenti Comparison Result for Solutions to Elliptic Problems with Robin Boundary Conditions

被引：16

作者：

Alvino, Angelo ^{[1
]}

Nitsch, Carlo ^{[1
]}

Trombetti, Cristina ^{[1
]}

机构：

[1] Univ Napoli Federico II, Dipartimento Matemat & Appl R Caccioppoli, Complesso Univ Monte S Angelo,via Cintia, I-80126 Naples, Italy

来源：

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 2023年 / 76卷 / 03期

关键词：

EXTENSION;

D O I：

10.1002/cpa.22090

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Comparison results of Talenti type for elliptic problems with Dirichlet boundary conditions have been widely investigated in recent decades. In this paper, we deal with Robin boundary conditions. Surprisingly, contrary to the Dirichlet case, Robin boundary conditions make the comparison sensitive to the dimension, and while the planar case seems to be completely settled, in higher dimensions some open problems are yet unsolved.(c) 2023 The Authors. Communications on Pure and Applied Mathematics published by Wiley Periodicals LLC.

引用

页码：585 / 603

页数：19

共 21 条

[11] An alternative approach to the Faber-Krahn inequality for Robin problems [J].

Bucur, Dorin ;

Daners, Daniel .

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2010, 37 (1-2) :75-86

[12] A Faber-Krahn inequality for Robin problems in any space dimension [J].

Daners, D .

MATHEMATISCHE ANNALEN, 2006, 335 (04) :767-785

[13] EXTENSION OF MARCINKIEWICZ INTERPOLATION THEOREM TO LORENTZ SPACES [J].

HUNT, RA .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1964, 70 (06) :803-&

[14]

KAWOHL B, 1985, LECT NOTES MATH, V1150, P1

[15]

Kesavan S, 2006, SER ANALYSIS, V3

[16]

Langford J. J., 2020, PREPRINT

[17]

Langford J. J., 2021, PREPRINT

[18]

Sannipoli R., 2021, PREPRINT

[19] ON THE 1ST EIGENVALUE OF THE CLAMPED PLATE [J].

TALENTI, G .

ANNALI DI MATEMATICA PURA ED APPLICATA, 1981, 129 :265-280

[20]

Talenti G., 1979, Ann. Mat. Pura Appl., V120, P160

← 1 2 3 →